Highly oscillatory phenomena are omnipresent in applications. Two important underlying sources are stochastic fluctuations and deterministic randomness. In this paper, we will present heuristics, theorems, and a few illustrations on the Fourier spectrum and deterministic random time series,...

In this paper, the compound Burgers–Korteweg–de Vries equation is studied by the first integral method, which is based on ring theory in commutative algebra. Several new kink-profile waves and periodic waves are established. The applications of these results to other nonlinear wave equations...

"This book falls broadly in the area of financial mathematics. It presents a multitude of topics that are relevant to the quantitative finance community. Experts in teaching and active in research, the authors aim to discuss theory in the context of applications to specific practical problems....